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Simplifying 0.1(20 + -10x) = 2 + -1(2x + 9) (20 * 0.1 + -10x * 0.1) = 2 + -1(2x + 9) (2 + -1x) = 2 + -1(2x + 9) Reorder the terms: 2 + -1x = 2 + -1(9 + 2x) 2 + -1x = 2 + (9 * -1 + 2x * -1) 2 + -1x = 2 + (-9 + -2x) Combine like terms: 2 + -9 = -7 2 + -1x = -7 + -2x Solving 2 + -1x = -7 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 2 + -1x + 2x = -7 + -2x + 2x Combine like terms: -1x + 2x = 1x 2 + 1x = -7 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 1x = -7 + 0 2 + 1x = -7 Add '-2' to each side of the equation. 2 + -2 + 1x = -7 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = -7 + -2 1x = -7 + -2 Combine like terms: -7 + -2 = -9 1x = -9 Divide each side by '1'. x = -9 Simplifying x = -9
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